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Finding the Fourth Proportional to 358,465.80, 537,698.70 and 308,602.20

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Solution

The fourth proportional to 358,465.80, 537,698.70 and 308,602.20 is: 462,903.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,465.80 : 537,698.70 = 308,602.20 : x
  2. Step 2: Convert to fraction form
    358,465.80/537,698.70 = 308,602.20/x
  3. Step 3: Cross multiply
    358,465.80x = 537,698.70 × 308,602.20
  4. Step 4: Simplify right side
    358,465.80x = 165,935,001,757.14
  5. Step 5: Solve for x
    x = 165,935,001,757.14/358,465.80
  6. Step 6: Final answer
    x = 462,903.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.